Algorithms

Concrete quantum algorithm examples built with Qamomile.

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In this section: algorithm chemistry encoding error-correction optimization primitive sample-based simulation variational

In other sections: integration resource-estimation tutorial usage

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• QAOA for MaxCut — Build a QAOA circuit from scratch to solve MaxCut, then compare with the built-in qaoa_state

• QAOA for Graph Partitioning — End-to-end optimization example using OMMX, JijModeling, and QAOAConverter

• VQE for the Hydrogen Molecule — Build a molecular Hamiltonian with OpenFermion and find the ground state energy via VQE

• Hamiltonian Simulation with Suzuki–Trotter — Trotter–Suzuki product formulas on the Rabi model with empirical convergence orders

• Introduction to Quantum Error Correction — 3-qubit bit-flip/phase-flip codes, Shor’s 9-qubit code, and stabilizers

• Steane [[7,1,3]] Code — CSS construction, syndrome decoding, and transversal Hadamard

• Quantum Selected Configuration Interaction (QSCI) — Sample bitstrings from a quantum state, build an effective Hamiltonian, and diagonalize it classically with a strict variational guarantee

• Möttönen Amplitude Encoding — Prepare an arbitrary real or complex amplitude vector via Gray-code Ry/Rz multiplexers, with three input modes (concrete, bound Vector[Float], runtime-parametric angles)